Math

Problem 101

Find $x$ such that $x m = \frac{n}{p}$ .

See Solution

Problem 102

Simplify the expression: $(6+2y)\cdot 3$ and $(2x-3)\cdot 4$

See Solution

Problem 103

Find the roots of the quadratic equation $2x^2 - x - 28 = 0$ by factoring.

See Solution

Problem 104

Solve for $p$ in the equation $(123+(-1.57895)(p-15)) p = 0$ .

See Solution

Problem 105

Write the elevation of a telescope, about 2500 meters above sea level, in scientific notation. $2500 = 2.5 \times 10^3$

See Solution

Problem 106

Find the equation of an absolute value function with vertex at $(-3, -1)$ , opening upwards, and passing through $(0, 2)$ .

See Solution

Problem 107

Solve for $x$ in the equation $4x + 6 = 2 \frac{1}{2}x + 12$ using inverse operations.

See Solution

Problem 108

Solve for the unknown variable $m$ in the equation $4+m=12$ .

See Solution

Problem 109

Multiply binomials $(8p + 4q)(p - 3q)$ and collect like terms.

See Solution

Problem 110

Match $x$ values to corresponding $y$ values based on their arrangement.

See Solution

Problem 111

Solve for $x$ in the equation $169^{-x}=\frac{1}{\sqrt{13}}$ .

See Solution

Problem 112

Find the min/max value and axis of symmetry for $f(x)=-3 x^{2}+12 x-8$ . The $y$ -value of the extremum is the solution.

See Solution

Problem 113

Complete the table for the linear equation $4x-3y=12$ and graph the equation.

See Solution

Problem 114

Convert -39.825 to a mixed number.

See Solution

Problem 115

Identify constant and variable terms: $-9 x^{2}$ (constant), $-3 x y$ (variable), $-\vee-3$ (constant), $-\frac{1}{2}$ (constant), 8.1 (constant), $17 x$ (variable), $-14 a$ (variable).

See Solution

Problem 116

Find the exact value of $\tan(2\pi/3)$ .

See Solution

Problem 117

Find the value of $q$ given that the product of $q$ and -4.7 is equal to 9.4.

See Solution

Problem 118

Evaluate the rational expression $\frac{x-4}{9x+2}$ for $x=-1$ , and express the answer as a simplified fraction.

See Solution

Problem 119

Find the possible number of hours the chemistry club can rent a meeting room with a $15 reservation fee and$ 6 per hour fee, given a maximum budget of $63.
Let $t$ be the number of hours. The inequality is: $15 + 6t \leq 63$ .

See Solution

Problem 120

Solve for $y$ in the equation $26=-\frac{8}{5}y$ .

See Solution

Problem 121

Find the probability that a coin lands showing heads.

See Solution

Problem 122

Given $a_1=5$ and $r=2$ , which equation represents the $n$ th term of the sequence: $a_n=5(2)^{n-1}$ ?

See Solution

Problem 123

Simplify $100^{3/2}$ and verify the result using a calculator.

See Solution

Problem 124

Solve the equation $3^{n}=81$ using the like bases property to find the value of $n$ .

See Solution

Problem 125

Solve for $n$ in the equation $0.75n=36$ .

See Solution

Problem 126

Does $(-2,5)$ satisfy $y=-5x$ ?

See Solution

Problem 127

Complete the table using equivalent ratios. Find the number of cabins for 2.1 hectares and 3 hectares of land.
$10.5 \quad 5$ $2.1 \quad ?$ $3 \quad 7$

See Solution

Problem 128

Find two ways to represent 27 using only the digit 3.

See Solution

Problem 129

Find the distance between points $P(9,-17)$ and $Q(16,-14)$ , and the coordinates of the midpoint $M$ of the segment $PQ$ . Simplify the distance.

See Solution

Problem 130

Solve a system of linear equations to find the cost per pound of walnuts and chocolate chips. For 3 lbs walnuts and 5 lbs chocolate chips, total cost is $19. For 9 lbs walnuts and 7 lbs chocolate chips, total cost is$ 35. Find the cost per pound of walnuts: $and per pound of chocolate chips:$

See Solution

Problem 131

Rewrite the equation $9 p^{2}+26 p-3=0$ by substituting $p=3^{x}$ , then solve the resulting equation $3 \times 9^{x}+3^{x+2}=1+3^{x-1}$ .

See Solution

Problem 132

Compute the mean, median, and mode of concrete strengths (in psi) from 9 randomly selected casts: 3950, 4100, 3200, 3000, 2940, 3830, 4100, 4050, 3680. The mean is $\square$ psi, the median is $\square$ psi, and the mode is $\square$ psi.

See Solution

Problem 133

Find the $x$ -intercepts and zeros of $f(x)=(x+2)^{2}(x-4)^{3}(x-3)$ . Express the intercepts and zeros as ordered pairs.

See Solution

Problem 134

Simplify the expression $-9(y+8)+9$ .

See Solution

Problem 135

Find the value of $x$ in the equation $11 = -5x - 2$ .

See Solution

Problem 136

Find $(f-g)(x)$ if $f(x)=-6 x^{\wedge} 2+x+6$ and $g(x)=-x^{\wedge} 2+x+2$ .

See Solution

Problem 137

Solve for the value of $l$ given the equation $\frac{l}{5}+2=-8$ .

See Solution

Problem 138

Solve for $x$ and round to nearest hundredth where $7^{x}=245$ .

See Solution

Problem 139

Find the difference between 701 and 627.

See Solution

Problem 140

Solve for the value of t in the equation $\frac{t}{8} + 10 = 13$ .

See Solution

Problem 141

Find the value of resistance $R$ given the current $I$ and voltage $E$ using the formula $I=\frac{E}{R}$ .

See Solution

Problem 142

Find the product of $2x + 7$ and $x - 3$ .

See Solution

Problem 143

Find missing y-values for $y = x^{2}$ when $x = 0, 1, 2$ in the given table: Input (x) | Output (y) -2 | 4, -1 | 1, 0 | ?, 1 | ?, 2 | ?

See Solution

Problem 144

Solve the equation $\sqrt{\frac{1-x}{9}}=0$ for the value of $x$ .

See Solution

Problem 145

Bo spent $\$6.60$ on text messages. How many messages did he send if each message costs $\$0.15$ ?

See Solution

Problem 146

Find the value of $x$ that satisfies the equation $4x + 5y = 13$ when the ordered pair $(x, 1)$ is a solution.

See Solution

Problem 147

Find the value of $a$ given $ab = 0.42$ and $b = 0.648$ .

See Solution

Problem 148

Prove $2 \cot 2x + \tan x \equiv \cot x$ for $x \neq n\pi/2, n \in \mathbb{Z}$ . Then solve $6 \cot 2x + 3 \tan x = \csc^2 x - 2$ for $-\pi \leq x < \pi$ , giving answers to 3 decimal places. (No graphical/numerical solutions).

See Solution

Problem 149

Find the point obtained by dilating (0,6) by a scale factor of 1/3 around the origin.

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Problem 150

Find the opposite of the integer $-28$ .

See Solution

Problem 151

Solve for $f$ in the equation $5^{f} = 125$ .

See Solution

Problem 152

Find the value of $\frac{x^2 + 15}{x + 3}$ when $x = 5$ .

See Solution

Problem 153

Is the discriminant of the function $\bar{y}=\bar{x} \overline{2}+\overline{4} \bar{x}+\overline{4}$ positive, negative, or zero?

See Solution

Problem 154

Solve the compound inequality $4x-2>18$ or $3x+6>9$ . Write the solution in interval notation. If no solution, enter $\boldsymbol{O}$ .

See Solution

Problem 155

Find the value of $g(x)=2x-5$ evaluated at $x=-2.4$ .

See Solution

Problem 156

Test if $3\%$ of patients treated with a drug develop nausea as an adverse reaction, using a $0.10$ significance level. Identify the null and alternative hypotheses.

See Solution

Problem 157

Find the number that, when multiplied by 3, equals 18.

See Solution

Problem 158

Find the number that is $\frac{4}{5}$ of 60.

See Solution

Problem 159

Find the value of $t$ that satisfies the equation $V(t)=4t^3-27t^2$ .

See Solution

Problem 160

Find the $r$ value for the equation $y=4.95 e^{0.0542 t}$ and explain the type of change it represents.

See Solution

Problem 161

Finde eine Gerade $k$ , die die Gerade $y=3x+4$ im Punkt $R(-16,-44)$ rechtwinklig schneidet.

See Solution

Problem 162

Find the exact value of $\sin 67.5^{\circ}$ using trigonometric identities.

See Solution

Problem 163

Solve for $b$ in the equation $\frac{b-6}{-7}=-10$ .

See Solution

Problem 164

Find the value of $H(-1)-4$ given that $H(x)=8x+4$ .

See Solution

Problem 165

Solve the linear rational equation $\frac{8 x+7}{16 x+30}=0$ for the value of $x$ .

See Solution

Problem 166

Find the current value of a stock bought for $\$ 145$ that has decreased by $4\%$ since purchase.

See Solution

Problem 167

Find the product of $\sqrt{121}$ and $\sqrt{36}$ .

See Solution

Problem 168

Find all real values of $x$ such that $x \leq \frac{22}{11}$ .

See Solution

Problem 169

Find the value of $k$ in the equation $\frac{60-92}{45-92}=e^{-k(43)}$ .

See Solution

Problem 170

Find the prime factorization of 25 and 42.

See Solution

Problem 171

Solve the linear equation $6a - 11 = 13$ for the variable $a$ .

See Solution

Problem 172

Solve the absolute value equation $2|4x+5| = 0$ and choose the correct solution.

See Solution

Problem 173

Find the value of $\sin \left(2 \tan ^{-1} x\right)$ .

See Solution

Problem 174

Find the value of $b$ given the expression $b=(27+23) 11$ .

See Solution

Problem 175

Solve the equation $16^{3x-2} = 32^{x+4}$ for the value of $x$ .

See Solution

Problem 176

Solve the linear-quadratic system algebraically: $y=2x^2+13x$ and $y+6x=-9$ . Express the solution in fraction form.

See Solution

Problem 177

Solve the system of linear equations $2x + 4y = 26$ and $3x + 3y = 6$ using elimination.

See Solution

Problem 178

Simplify the expression $e^{2 \ln x - 5}$ .

See Solution

Problem 179

The math club's membership grows by $3\%$ weekly. Find the function $S(x)$ representing the number of members after $x$ weeks, starting with 10 members.

See Solution

Problem 180

Evaluate $1.4^{3}$ and enter the decimal result.

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Problem 181

Determine the property illustrated by the equation $x+7.5=7.5+x$ .

See Solution

Problem 182

Select the correct equation for $b=10$ . A. $2(10+4)=16$ B. $2(10+2)=40$ C. $3(10-2)=24$ D. $2(8+10)=42$ E. $3(10-4)=20$

See Solution

Problem 183

Find the value of $x$ if a number divided by 20 equals 5. A) $x=100$ B) $x=4$ C) $x=50$ D) $x=2$

See Solution

Problem 184

Solve for $d$ and graph the solution. $d-1>11$ or $\frac{d-11}{3}<-3$ . Plot the endpoints, change a closed endpoint to open, delete a segment.

See Solution

Problem 185

Divide $\frac{5 \sqrt{90 a x^{3}}}{25 \sqrt{5 a x}}$ to simplify the expression.

See Solution

Problem 186

Find the solutions to the quadratic equation $x^2 + 7x + 12 = 0$ .

See Solution

Problem 187

Solve for $y$ and graph the solution. Solve the system of linear inequalities: $-13y+6<-15y-6$ or $2y+3\geq8-3y$ . Plot the endpoints and modify the graph.

See Solution

Problem 188

Convert between percents and decimals in a table.
Complete the table: $39\% =$ , $6.5\% =$ , $\%\% = 0.34$ , $\%\% = 0.135$ , $\%\%$ .

See Solution

Problem 189

Write the equation $y = -3x + 9$ in function notation as $f(x)$ .

See Solution

Problem 190

Find the score in the 70th percentile of a dataset with mean $\mu=79.22$ and standard deviation $\sigma=7.97$ using the Z-score formula $Z = \frac{X - \mu}{\sigma}$ .

See Solution

Problem 191

Evaluate the expression $4 \cdot 5 - 10 - 2(1 - 2) + 5$ .

See Solution

Problem 192

Find the value of the expression $\left(7 x y\right)^{2}$ .

See Solution

Problem 193

Solve for $c$ where $\frac{c}{3} + 5.48 = 7.29$ .

See Solution

Problem 194

Find $f$ when it varies inversely with $g$ and $f=22$ when $g=3$ .

See Solution

Problem 195

Evaluate the division expression $8 \div (-8)$ .

See Solution

Problem 196

Find the value of $x$ if the mean of 4, 8, and $x$ is 7.

See Solution

Problem 197

Simplify $\left(5 \times 10^{8}\right)^{4}$ and express the result in scientific notation.

See Solution

Problem 198

Estimate $\sqrt{15}$ to the nearest tenth, then locate it on a number line.

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Problem 199

Find the number line that shows the solution to the equation $6x - 8 = 28$ .

See Solution

Problem 200

Solve for the variable $g$ in the equation $2g - 1 = 1$ .

See Solution

1 2 3 4 5 ...660

Math

Problem 101

Find xxx such that xm=npx m = \frac{n}{p}xm=pn​.

Problem 102

Simplify the expression: (6+2y)⋅3(6+2y)\cdot 3(6+2y)⋅3 and (2x−3)⋅4(2x-3)\cdot 4(2x−3)⋅4

Problem 103

Find the roots of the quadratic equation 2x2−x−28=02x^2 - x - 28 = 02x2−x−28=0 by factoring.

Problem 104

Solve for ppp in the equation (123+(−1.57895)(p−15))p=0(123+(-1.57895)(p-15)) p = 0(123+(−1.57895)(p−15))p=0.

Problem 105

Write the elevation of a telescope, about 2500 meters above sea level, in scientific notation. 2500=2.5×1032500 = 2.5 \times 10^32500=2.5×103

Problem 106

Find the equation of an absolute value function with vertex at (−3,−1)(-3, -1)(−3,−1), opening upwards, and passing through (0,2)(0, 2)(0,2).

Problem 107

Solve for xxx in the equation 4x+6=212x+124x + 6 = 2 \frac{1}{2}x + 124x+6=221​x+12 using inverse operations.

Problem 108

Solve for the unknown variable mmm in the equation 4+m=124+m=124+m=12.

Problem 109

Multiply binomials (8p+4q)(p−3q)(8p + 4q)(p - 3q)(8p+4q)(p−3q) and collect like terms.

Problem 110

Match xxx values to corresponding yyy values based on their arrangement.

Problem 111

Solve for xxx in the equation 169−x=113169^{-x}=\frac{1}{\sqrt{13}}169−x=13​1​.

Problem 112

Find the min/max value and axis of symmetry for f(x)=−3x2+12x−8f(x)=-3 x^{2}+12 x-8f(x)=−3x2+12x−8. The yyy-value of the extremum is the solution.

Problem 113

Complete the table for the linear equation 4x−3y=124x-3y=124x−3y=12 and graph the equation.

Problem 114

Convert -39.825 to a mixed number.

Problem 115

Identify constant and variable terms: −9x2-9 x^{2}−9x2 (constant), −3xy-3 x y−3xy (variable), −∨−3-\vee-3−∨−3 (constant), −12-\frac{1}{2}−21​ (constant), 8.1 (constant), 17x17 x17x (variable), −14a-14 a−14a (variable).

Problem 116

Find the exact value of tan⁡(2π/3)\tan(2\pi/3)tan(2π/3).

Problem 117

Find the value of qqq given that the product of qqq and -4.7 is equal to 9.4.

Problem 118

Evaluate the rational expression x−49x+2\frac{x-4}{9x+2}9x+2x−4​ for x=−1x=-1x=−1, and express the answer as a simplified fraction.

Problem 119

Find the possible number of hours the chemistry club can rent a meeting room with a 15reservationfeeand15 reservation fee and 15reservationfeeand6 per hour fee, given a maximum budget of $63.Let ttt be the number of hours. The inequality is: 15+6t≤6315 + 6t \leq 6315+6t≤63.

Problem 120

Solve for yyy in the equation 26=−85y26=-\frac{8}{5}y26=−58​y.

Problem 121

Find the probability that a coin lands showing heads.

Problem 122

Given a1=5a_1=5a1​=5 and r=2r=2r=2, which equation represents the nnnth term of the sequence: an=5(2)n−1a_n=5(2)^{n-1}an​=5(2)n−1?

Problem 123

Simplify 1003/2100^{3/2}1003/2 and verify the result using a calculator.

Problem 124

Solve the equation 3n=813^{n}=813n=81 using the like bases property to find the value of nnn.

Problem 125

Solve for nnn in the equation 0.75n=360.75n=360.75n=36.

Problem 126

Does (−2,5)(-2,5)(−2,5) satisfy y=−5xy=-5xy=−5x?

Problem 127

Complete the table using equivalent ratios. Find the number of cabins for 2.1 hectares and 3 hectares of land.10.5510.5 \quad 510.55 2.1?2.1 \quad ?2.1? 373 \quad 737

Problem 128

Find two ways to represent 27 using only the digit 3.

Problem 129

Find the distance between points P(9,−17)P(9,-17)P(9,−17) and Q(16,−14)Q(16,-14)Q(16,−14), and the coordinates of the midpoint MMM of the segment PQPQPQ. Simplify the distance.

Problem 130

Problem 131

Rewrite the equation 9p2+26p−3=09 p^{2}+26 p-3=09p2+26p−3=0 by substituting p=3xp=3^{x}p=3x, then solve the resulting equation 3×9x+3x+2=1+3x−13 \times 9^{x}+3^{x+2}=1+3^{x-1}3×9x+3x+2=1+3x−1.

Problem 132

Compute the mean, median, and mode of concrete strengths (in psi) from 9 randomly selected casts: 3950, 4100, 3200, 3000, 2940, 3830, 4100, 4050, 3680. The mean is □\square□ psi, the median is □\square□ psi, and the mode is □\square□ psi.

Problem 133

Find the xxx-intercepts and zeros of f(x)=(x+2)2(x−4)3(x−3)f(x)=(x+2)^{2}(x-4)^{3}(x-3)f(x)=(x+2)2(x−4)3(x−3). Express the intercepts and zeros as ordered pairs.

Problem 134

Simplify the expression −9(y+8)+9-9(y+8)+9−9(y+8)+9.

Problem 135

Find the value of xxx in the equation 11=−5x−211 = -5x - 211=−5x−2.

Problem 136

Find (f−g)(x)(f-g)(x)(f−g)(x) if f(x)=−6x∧2+x+6f(x)=-6 x^{\wedge} 2+x+6f(x)=−6x∧2+x+6 and g(x)=−x∧2+x+2g(x)=-x^{\wedge} 2+x+2g(x)=−x∧2+x+2.

Problem 137

Solve for the value of lll given the equation l5+2=−8\frac{l}{5}+2=-85l​+2=−8.

Problem 138

Solve for xxx and round to nearest hundredth where 7x=2457^{x}=2457x=245.

Problem 139

Find the difference between 701 and 627.

Problem 140

Solve for the value of t in the equation t8+10=13\frac{t}{8} + 10 = 138t​+10=13.

Find $x$ such that $x m = \frac{n}{p}$ .

Simplify the expression: $(6+2y)\cdot 3$ and $(2x-3)\cdot 4$

Find the roots of the quadratic equation $2x^2 - x - 28 = 0$ by factoring.

Solve for $p$ in the equation $(123+(-1.57895)(p-15)) p = 0$ .

Write the elevation of a telescope, about 2500 meters above sea level, in scientific notation. $2500 = 2.5 \times 10^3$

Find the equation of an absolute value function with vertex at $(-3, -1)$ , opening upwards, and passing through $(0, 2)$ .

Solve for $x$ in the equation $4x + 6 = 2 \frac{1}{2}x + 12$ using inverse operations.

Solve for the unknown variable $m$ in the equation $4+m=12$ .

Multiply binomials $(8p + 4q)(p - 3q)$ and collect like terms.

Match $x$ values to corresponding $y$ values based on their arrangement.

Solve for $x$ in the equation $169^{-x}=\frac{1}{\sqrt{13}}$ .

Find the min/max value and axis of symmetry for $f(x)=-3 x^{2}+12 x-8$ . The $y$ -value of the extremum is the solution.

Complete the table for the linear equation $4x-3y=12$ and graph the equation.

Identify constant and variable terms: $-9 x^{2}$ (constant), $-3 x y$ (variable), $-\vee-3$ (constant), $-\frac{1}{2}$ (constant), 8.1 (constant), $17 x$ (variable), $-14 a$ (variable).

Find the exact value of $\tan(2\pi/3)$ .

Find the value of $q$ given that the product of $q$ and -4.7 is equal to 9.4.

Evaluate the rational expression $\frac{x-4}{9x+2}$ for $x=-1$ , and express the answer as a simplified fraction.

Find the possible number of hours the chemistry club can rent a meeting room with a $15 reservation fee and$ 6 per hour fee, given a maximum budget of $63.
Let $t$ be the number of hours. The inequality is: $15 + 6t \leq 63$ .

Solve for $y$ in the equation $26=-\frac{8}{5}y$ .

Given $a_1=5$ and $r=2$ , which equation represents the $n$ th term of the sequence: $a_n=5(2)^{n-1}$ ?

Simplify $100^{3/2}$ and verify the result using a calculator.

Solve the equation $3^{n}=81$ using the like bases property to find the value of $n$ .

Solve for $n$ in the equation $0.75n=36$ .

Does $(-2,5)$ satisfy $y=-5x$ ?

Complete the table using equivalent ratios. Find the number of cabins for 2.1 hectares and 3 hectares of land.
$10.5 \quad 5$ $2.1 \quad ?$ $3 \quad 7$

Find the distance between points $P(9,-17)$ and $Q(16,-14)$ , and the coordinates of the midpoint $M$ of the segment $PQ$ . Simplify the distance.

Rewrite the equation $9 p^{2}+26 p-3=0$ by substituting $p=3^{x}$ , then solve the resulting equation $3 \times 9^{x}+3^{x+2}=1+3^{x-1}$ .

Compute the mean, median, and mode of concrete strengths (in psi) from 9 randomly selected casts: 3950, 4100, 3200, 3000, 2940, 3830, 4100, 4050, 3680. The mean is $\square$ psi, the median is $\square$ psi, and the mode is $\square$ psi.

Find the $x$ -intercepts and zeros of $f(x)=(x+2)^{2}(x-4)^{3}(x-3)$ . Express the intercepts and zeros as ordered pairs.

Simplify the expression $-9(y+8)+9$ .

Find the value of $x$ in the equation $11 = -5x - 2$ .

Find $(f-g)(x)$ if $f(x)=-6 x^{\wedge} 2+x+6$ and $g(x)=-x^{\wedge} 2+x+2$ .

Solve for the value of $l$ given the equation $\frac{l}{5}+2=-8$ .

Solve for $x$ and round to nearest hundredth where $7^{x}=245$ .

Solve for the value of t in the equation $\frac{t}{8} + 10 = 13$ .

Find the value of resistance $R$ given the current $I$ and voltage $E$ using the formula $I=\frac{E}{R}$ .

Find the product of $2x + 7$ and $x - 3$ .

Find missing y-values for $y = x^{2}$ when $x = 0, 1, 2$ in the given table: Input (x) | Output (y) -2 | 4, -1 | 1, 0 | ?, 1 | ?, 2 | ?

Solve the equation $\sqrt{\frac{1-x}{9}}=0$ for the value of $x$ .

Bo spent $\$6.60$ on text messages. How many messages did he send if each message costs $\$0.15$ ?

Find the value of $x$ that satisfies the equation $4x + 5y = 13$ when the ordered pair $(x, 1)$ is a solution.

Find the value of $a$ given $ab = 0.42$ and $b = 0.648$ .

Find the opposite of the integer $-28$ .

Solve for $f$ in the equation $5^{f} = 125$ .

Find the value of $\frac{x^2 + 15}{x + 3}$ when $x = 5$ .

Is the discriminant of the function $\bar{y}=\bar{x} \overline{2}+\overline{4} \bar{x}+\overline{4}$ positive, negative, or zero?

Solve the compound inequality $4x-2>18$ or $3x+6>9$ . Write the solution in interval notation. If no solution, enter $\boldsymbol{O}$ .

Find the value of $g(x)=2x-5$ evaluated at $x=-2.4$ .

Test if $3\%$ of patients treated with a drug develop nausea as an adverse reaction, using a $0.10$ significance level. Identify the null and alternative hypotheses.

Find the number that is $\frac{4}{5}$ of 60.

Find the value of $t$ that satisfies the equation $V(t)=4t^3-27t^2$ .

Find the $r$ value for the equation $y=4.95 e^{0.0542 t}$ and explain the type of change it represents.

Finde eine Gerade $k$ , die die Gerade $y=3x+4$ im Punkt $R(-16,-44)$ rechtwinklig schneidet.

Find the exact value of $\sin 67.5^{\circ}$ using trigonometric identities.

Solve for $b$ in the equation $\frac{b-6}{-7}=-10$ .

Find the value of $H(-1)-4$ given that $H(x)=8x+4$ .

Solve the linear rational equation $\frac{8 x+7}{16 x+30}=0$ for the value of $x$ .

Find the current value of a stock bought for $\$ 145$ that has decreased by $4\%$ since purchase.

Find the product of $\sqrt{121}$ and $\sqrt{36}$ .

Find all real values of $x$ such that $x \leq \frac{22}{11}$ .

Find the value of $k$ in the equation $\frac{60-92}{45-92}=e^{-k(43)}$ .

Solve the linear equation $6a - 11 = 13$ for the variable $a$ .

Solve the absolute value equation $2|4x+5| = 0$ and choose the correct solution.

Find the value of $\sin \left(2 \tan ^{-1} x\right)$ .

Find the value of $b$ given the expression $b=(27+23) 11$ .